On residue formulas for characteristic numbers
Volume 85 / 2009
Banach Center Publications 85 (2009), 187-192
MSC: Primary 57R20, 57S15; Secondary 55R25.
DOI: 10.4064/bc85-0-13
Abstract
We show that coefficients of residue formulas for characteristic numbers associated to a smooth toral action on a manifold can be taken in a quotient field ${\bf Q}(X_1,\ldots ,X_r).$ This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.
